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PreprintCC BY 4.0arXiv

Multipartite dynamics beyond bipartite entanglement equilibration

Abstract

Entanglement equilibration need not mark the end of quantum-information dynamics in quantum thermalization. We show that the complete Schmidt spectra of a fixed tripartition can become stationary while its multipartite correlation structure, distinguished by local-unitary invariants, continues to evolve. This separation occurs exactly within a finite window in self-dual kicked-Ising dynamics and asymptotically in Haar-random circuits. We further demonstrate an independently tunable timescale for multipartite dynamics using quantum-error-correcting codes. When coupled to a locally scrambling bath, ordinary entanglement approaches equilibrium through rapid local scrambling, while weak logical--bath coupling drives a slower reorganization of multipartite correlations. These results reveal a deeper distinction than the ordering of equilibration times: bipartite entanglement and multipartite correlation structure can probe distinct physical channels of quantum-information dynamics, rather than merely different stages of the same relaxation process.

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BibTeX
@misc{liu2026multipartite,
  title = {{Multipartite dynamics beyond bipartite entanglement equilibration}},
  author = {Yan Liu and Ya-Wen Sun and Ren-Jie Ying and Jun-Yuan Zeng},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35377},
  eprint = {2610.35377},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35377},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Multipartite dynamics beyond bipartite entanglement equilibration
AU  - Yan Liu
AU  - Ya-Wen Sun
AU  - Ren-Jie Ying
AU  - Jun-Yuan Zeng
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35377
UR  - https://arxiv.org/abs/2610.35377
AB  - Entanglement equilibration need not mark the end of quantum-information dynamics in quantum thermalization. We show that the complete Schmidt spectra of a fixed tripartition can become stationary while its multipartite correlation structure, distinguished by local-unitary invariants, continues to evolve. This separation occurs exactly within a finite window in self-dual kicked-Ising dynamics and asymptotically in Haar-random circuits. We further demonstrate an independently tunable timescale for multipartite dynamics using quantum-error-correcting codes. When coupled to a locally scrambling bath, ordinary entanglement approaches equilibrium through rapid local scrambling, while weak logical--bath coupling drives a slower reorganization of multipartite correlations. These results reveal a deeper distinction than the ordering of equilibration times: bipartite entanglement and multipartite correlation structure can probe distinct physical channels of quantum-information dynamics, rather than merely different stages of the same relaxation process.
ER  -